Multiples of 9

Now, let us learn more about multiples of 9. Multiples of 9 are the numbers you get when you multiply 9 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.

In multiplication, a multiple of 9 can be denoted as 9 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:

Multiple of a number = Number × Any whole number

For example, multiplying 9 × 1 will give us 9 as the product. Multiples of 9 will be larger or equal to 9.

Multiples of 9 include the products of 9 and an integer. Multiples of 9 are divisible by 9 evenly. The first few multiples of 9 are given below:

Now, we know the first few multiples of 9. They are 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90,...
 

Understanding the multiples of 9 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 9, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 9:

9, 18, 27, 36, and 45 are the first five multiples of 9. When multiplying 9 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

9 + 18 + 27 + 36 + 45 = 135

When we add the first 5 multiples of 9, the answer will be 135.

Subtraction of first 5 Multiples of 9:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 9, 18, 27, 36, and 45 are the first five multiples of 9. So, let us calculate it as given below:

9 - 18 = -9
-9 - 27 = -36
-36 - 36 = -72
-72 - 45 = -117

Hence, the result of subtracting the first 5 multiples of 9 is -117.

Average of first 5 Multiples of 9:

To calculate the average, we need to identify the sum of the first 5 multiples of 9, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 9 is 135.

9 + 18 + 27 + 36 + 45 = 135

Next, divide the sum by 5:

135 ÷ 5 = 27

27 is the average of the first 5 multiples of 9.

Product of First 5 Multiples of 9:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 9 include: 9, 18, 27, 36, and 45. Now, the product of these numbers is:

9 × 18 × 27 × 36 × 45 = 10,648,320

The product of the first 5 multiples of 9 is 10,648,320.

Division of First 5 Multiples of 9:

While we perform division, we get to know how many times 9 can fit into each of the given multiples. 9, 18, 27, 36, and 45 are the first 5 multiples of 9.

9 ÷ 9 = 1
18 ÷ 9 = 2
27 ÷ 9 = 3
36 ÷ 9 = 4
45 ÷ 9 = 5    

The results of dividing the first 5 multiples of 9 are: 1, 2, 3, 4, and 5.
 

• Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 9 include 9, 18, 27, 36, etc.
   
• Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 9 are the numbers that consist of the number pattern of 9.
   
• Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 9 are odd numbers.
   
• Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, and 9 are the divisors of 9.
   
• LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 9 is 63.